Fiber spot size: a simple method of calculation

Author

Galawa, R.L. ; Goyal, I.C. ; Ghatak, A.K.

Author_Institution

Electromagn. Technol. Div., Nat. Inst. of Stand. & Technol., Boulder, CO, USA

Volume

11

Issue

2

fYear

1993

fDate

2/1/1993 12:00:00 AM

Firstpage

192

Lastpage

197

Abstract

The ability to integrate the Laguerre-Gauss functions in closed form is exploited to allow a simple but accurate evaluation of single-mode fiber spot size using Galerkin´s method. The method avoids the need for numerical integration in a broad class of refractive-index profiles. Its simplicity depends on the use of a pattern-matching algorithm to avoid the numerical integration normally called for. The algorithm is very fast and gives exact results. The development of symbolic computer languages makes this approach especially easy. A symbolic program was used to predict the spot size and the far-field radiation pattern, and the results are compared with the exact values, getting excellent results

Keywords

integration; optical fibre theory; physics computing; Galerkin´s method; Laguerre-Gauss functions; far-field radiation pattern; integration; pattern-matching algorithm; single-mode fiber spot size; symbolic computer languages; Computer languages; Eigenvalues and eigenfunctions; Electromagnetic fields; Moment methods; Optical fibers; Partial differential equations; Photonic integrated circuits; Polynomials; Refractive index; Wave functions;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.212526

Filename

212526